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Finding the Fourth Proportional to 20,574.20, 30,812.70 and 13,964.60

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Solution

The fourth proportional to 20,574.20, 30,812.70 and 13,964.60 is: 20,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,574.20 : 30,812.70 = 13,964.60 : x
  2. Step 2: Convert to fraction form
    20,574.20/30,812.70 = 13,964.60/x
  3. Step 3: Cross multiply
    20,574.20x = 30,812.70 × 13,964.60
  4. Step 4: Simplify right side
    20,574.20x = 430,287,030.42
  5. Step 5: Solve for x
    x = 430,287,030.42/20,574.20
  6. Step 6: Final answer
    x = 20,913.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.